Atkin-Lehner |
2+ 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110w |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1112739883505620370 = 2 · 5 · 7 · 117 · 138 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-568904,-157027370] |
[a1,a2,a3,a4,a6] |
Generators |
[-11535:81695:27] |
Generators of the group modulo torsion |
j |
11494365229496241/628112655170 |
j-invariant |
L |
4.1228705956886 |
L(r)(E,1)/r! |
Ω |
0.17442779277957 |
Real period |
R |
5.909136641979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999504379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010x4 |
Quadratic twists by: -11 |